{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# LEARNING APPLICATIONS\n",
    "\n",
    "In this notebook we will take a look at some indicative applications of machine learning techniques. We will cover content from [`learning.py`](https://github.com/aimacode/aima-python/blob/master/learning.py), for chapter 18 from Stuart Russel's and Peter Norvig's book [*Artificial Intelligence: A Modern Approach*](http://aima.cs.berkeley.edu/). Execute the cell below to get started:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [],
   "source": [
    "from learning import *\n",
    "from probabilistic_learning import *\n",
    "from notebook import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CONTENTS\n",
    "\n",
    "* MNIST Handwritten Digits\n",
    "    * Loading and Visualising\n",
    "    * Testing\n",
    "* MNIST Fashion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MNIST HANDWRITTEN DIGITS CLASSIFICATION\n",
    "\n",
    "The MNIST Digits database, available from [this page](http://yann.lecun.com/exdb/mnist/), is a large database of handwritten digits that is commonly used for training and testing/validating in Machine learning.\n",
    "\n",
    "The dataset has **60,000 training images** each of size 28x28 pixels with labels and **10,000 testing images** of size 28x28 pixels with labels.\n",
    "\n",
    "In this section, we will use this database to compare performances of different learning algorithms.\n",
    "\n",
    "It is estimated that humans have an error rate of about **0.2%** on this problem. Let's see how our algorithms perform!\n",
    "\n",
    "NOTE: We will be using external libraries to load and visualize the dataset smoothly ([numpy](http://www.numpy.org/) for loading and [matplotlib](http://matplotlib.org/) for visualization). You do not need previous experience of the libraries to follow along."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Loading MNIST Digits Data\n",
    "\n",
    "Let's start by loading MNIST data into numpy arrays.\n",
    "\n",
    "The function `load_MNIST()` loads MNIST data from files saved in `aima-data/MNIST`. It returns four numpy arrays that we are going to use to train and classify hand-written digits in various learning approaches."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_img, train_lbl, test_img, test_lbl = load_MNIST()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the shape of these NumPy arrays to make sure we have loaded the database correctly.\n",
    "\n",
    "Each 28x28 pixel image is flattened to a 784x1 array and we should have 60,000 of them in training data. Similarly, we should have 10,000 of those 784x1 arrays in testing data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training images size: (60000, 784)\n",
      "Training labels size: (60000,)\n",
      "Testing images size: (10000, 784)\n",
      "Testing labels size: (10000,)\n"
     ]
    }
   ],
   "source": [
    "print(\"Training images size:\", train_img.shape)\n",
    "print(\"Training labels size:\", train_lbl.shape)\n",
    "print(\"Testing images size:\", test_img.shape)\n",
    "print(\"Testing labels size:\", test_lbl.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualizing Data\n",
    "\n",
    "To get a better understanding of the dataset, let's visualize some random images for each class from training and testing datasets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 80 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# takes 5-10 seconds to execute this\n",
    "show_MNIST(train_lbl, train_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 80 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# takes 5-10 seconds to execute this\n",
    "show_MNIST(test_lbl, test_img)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's have a look at the average of all the images of training and testing data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average of all images in training dataset.\n",
      "Digit 0 : 5923 images.\n",
      "Digit 1 : 6742 images.\n",
      "Digit 2 : 5958 images.\n",
      "Digit 3 : 6131 images.\n",
      "Digit 4 : 5842 images.\n",
      "Digit 5 : 5421 images.\n",
      "Digit 6 : 5918 images.\n",
      "Digit 7 : 6265 images.\n",
      "Digit 8 : 5851 images.\n",
      "Digit 9 : 5949 images.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average of all images in testing dataset.\n",
      "Digit 0 : 980 images.\n",
      "Digit 1 : 1135 images.\n",
      "Digit 2 : 1032 images.\n",
      "Digit 3 : 1010 images.\n",
      "Digit 4 : 982 images.\n",
      "Digit 5 : 892 images.\n",
      "Digit 6 : 958 images.\n",
      "Digit 7 : 1028 images.\n",
      "Digit 8 : 974 images.\n",
      "Digit 9 : 1009 images.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"Average of all images in training dataset.\")\n",
    "show_ave_MNIST(train_lbl, train_img)\n",
    "\n",
    "print(\"Average of all images in testing dataset.\")\n",
    "show_ave_MNIST(test_lbl, test_img)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Testing\n",
    "\n",
    "Now, let us convert this raw data into `DataSet.examples` to run our algorithms defined in `learning.py`. Every image is represented by 784 numbers (28x28 pixels) and we append them with its label or class to make them work with our implementations in learning module."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(60000, 784) (60000,)\n",
      "(60000, 785)\n"
     ]
    }
   ],
   "source": [
    "print(train_img.shape, train_lbl.shape)\n",
    "temp_train_lbl = train_lbl.reshape((60000,1))\n",
    "training_examples = np.hstack((train_img, temp_train_lbl))\n",
    "print(training_examples.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we will initialize a DataSet with our training examples, so we can use it in our algorithms."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [],
   "source": [
    "# takes ~10 seconds to execute this\n",
    "MNIST_DataSet = DataSet(examples=training_examples, distance=manhattan_distance)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Moving forward we can use `MNIST_DataSet` to test our algorithms."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plurality Learner\n",
    "\n",
    "The Plurality Learner always returns the class with the most training samples. In this case, `1`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n"
     ]
    }
   ],
   "source": [
    "pL = PluralityLearner(MNIST_DataSet)\n",
    "print(pL(177))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Actual class of test image: 8\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x121c3d90>"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "print(\"Actual class of test image:\", test_lbl[177])\n",
    "plt.imshow(test_img[177].reshape((28,28)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is obvious that this Learner is not very efficient. In fact, it will guess correctly in only 1135/10000 of the samples, roughly 10%. It is very fast though, so it might have its use as a quick first guess."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Naive-Bayes\n",
    "\n",
    "The Naive-Bayes classifier is an improvement over the Plurality Learner. It is much more accurate, but a lot slower."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7\n"
     ]
    }
   ],
   "source": [
    "# takes ~45 Secs. to execute this\n",
    "\n",
    "nBD = NaiveBayesLearner(MNIST_DataSet, continuous = False)\n",
    "print(nBD(test_img[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To make sure that the output we got is correct, let's plot that image along with its label."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Actual class of test image: 7\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x571c8b0>"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "print(\"Actual class of test image:\", test_lbl[0])\n",
    "plt.imshow(test_img[0].reshape((28,28)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### k-Nearest Neighbors\n",
    "\n",
    "We will now try to classify a random image from the dataset using the kNN classifier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5\n"
     ]
    }
   ],
   "source": [
    "# takes ~20 Secs. to execute this\n",
    "kNN = NearestNeighborLearner(MNIST_DataSet, k=3)\n",
    "print(kNN(test_img[211]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To make sure that the output we got is correct, let's plot that image along with its label."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Actual class of test image: 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12a87df0>"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "print(\"Actual class of test image:\", test_lbl[211])\n",
    "plt.imshow(test_img[211].reshape((28,28)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hurray! We've got it correct. Don't worry if our algorithm predicted a wrong class. With this techinique we have only ~97% accuracy on this dataset."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MNIST FASHION\n",
    "\n",
    "Another dataset in the same format is [MNIST Fashion](https://github.com/zalandoresearch/fashion-mnist/blob/master/README.md). This dataset, instead of digits contains types of apparel (t-shirts, trousers and others). As with the Digits dataset, it is split into training and testing images, with labels from 0 to 9 for each of the ten types of apparel present in the dataset. The below table shows what each label means:\n",
    "\n",
    "| Label | Description |\n",
    "| ----- | ----------- |\n",
    "|   0   | T-shirt/top |\n",
    "|   1   | Trouser     |\n",
    "|   2   | Pullover    |\n",
    "|   3   | Dress       |\n",
    "|   4   | Coat        |\n",
    "|   5   | Sandal      |\n",
    "|   6   | Shirt       |\n",
    "|   7   | Sneaker     |\n",
    "|   8   | Bag         |\n",
    "|   9   | Ankle boot  |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since both the MNIST datasets follow the same format, the code we wrote for loading and visualizing the Digits dataset will work for Fashion too! The only difference is that we have to let the functions know which dataset we're using, with the `fashion` argument. Let's start by loading the training and testing images:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_img, train_lbl, test_img, test_lbl = load_MNIST(fashion=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualizing Data\n",
    "\n",
    "Let's visualize some random images for each class, both for the training and testing sections:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 80 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# takes 5-10 seconds to execute this\n",
    "show_MNIST(train_lbl, train_img, fashion=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 80 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# takes 5-10 seconds to execute this\n",
    "show_MNIST(test_lbl, test_img, fashion=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's now see how many times each class appears in the training and testing data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average of all images in training dataset.\n",
      "Apparel 0 : 6000 images.\n",
      "Apparel 1 : 6000 images.\n",
      "Apparel 2 : 6000 images.\n",
      "Apparel 3 : 6000 images.\n",
      "Apparel 4 : 6000 images.\n",
      "Apparel 5 : 6000 images.\n",
      "Apparel 6 : 6000 images.\n",
      "Apparel 7 : 6000 images.\n",
      "Apparel 8 : 6000 images.\n",
      "Apparel 9 : 6000 images.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average of all images in testing dataset.\n",
      "Apparel 0 : 1000 images.\n",
      "Apparel 1 : 1000 images.\n",
      "Apparel 2 : 1000 images.\n",
      "Apparel 3 : 1000 images.\n",
      "Apparel 4 : 1000 images.\n",
      "Apparel 5 : 1000 images.\n",
      "Apparel 6 : 1000 images.\n",
      "Apparel 7 : 1000 images.\n",
      "Apparel 8 : 1000 images.\n",
      "Apparel 9 : 1000 images.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"Average of all images in training dataset.\")\n",
    "show_ave_MNIST(train_lbl, train_img, fashion=True)\n",
    "\n",
    "print(\"Average of all images in testing dataset.\")\n",
    "show_ave_MNIST(test_lbl, test_img, fashion=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Unlike Digits, in Fashion all items appear the same number of times."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Testing\n",
    "\n",
    "We will now begin testing our algorithms on Fashion.\n",
    "\n",
    "First, we need to convert the dataset into the `learning`-compatible `Dataset` class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [],
   "source": [
    "temp_train_lbl = train_lbl.reshape((60000,1))\n",
    "training_examples = np.hstack((train_img, temp_train_lbl))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [],
   "source": [
    "# takes ~10 seconds to execute this\n",
    "MNIST_DataSet = DataSet(examples=training_examples, distance=manhattan_distance)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plurality Learner\n",
    "\n",
    "The Plurality Learner always returns the class with the most training samples. In this case, `9`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9\n"
     ]
    }
   ],
   "source": [
    "pL = PluralityLearner(MNIST_DataSet)\n",
    "print(pL(177))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Actual class of test image: 0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x56e9ad0>"
      ]
     },
     "execution_count": 115,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "print(\"Actual class of test image:\", test_lbl[177])\n",
    "plt.imshow(test_img[177].reshape((28,28)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Naive-Bayes\n",
    "\n",
    "The Naive-Bayes classifier is an improvement over the Plurality Learner. It is much more accurate, but a lot slower."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n"
     ]
    }
   ],
   "source": [
    "# takes ~45 Secs. to execute this\n",
    "\n",
    "nBD = NaiveBayesLearner(MNIST_DataSet, continuous = False)\n",
    "print(nBD(test_img[24]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check if we got the right output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Actual class of test image: 1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1dadc8d0>"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "print(\"Actual class of test image:\", test_lbl[24])\n",
    "plt.imshow(test_img[24].reshape((28,28)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### K-Nearest Neighbors\n",
    "\n",
    "With the dataset in hand, we will first test how the kNN algorithm performs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n"
     ]
    }
   ],
   "source": [
    "# takes ~20 Secs. to execute this\n",
    "kNN = NearestNeighborLearner(MNIST_DataSet, k=3)\n",
    "print(kNN(test_img[211]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The output is 1, which means the item at index 211 is a trouser. Let's see if the prediction is correct:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Actual class of test image: 1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1dc87370>"
      ]
     },
     "execution_count": 123,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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flLTZzD5nZsskfVPSwQr6+BQz68y+iJGZdUr6ilpv9eGDknZnt3dLeqXCXj6hVVZurrWytCp+7VptxetKTvLJhjL+TVKbpP3u/i9Nb2IeZvZ5zR7tpdmZjX9VZW9m9pKkRzR71degpB9J+k9Jv5X0t5L+LOkb7t70L95q9PaIZt+6/nXl5pufsZvc299J+l9JxyTNZJv3avbzdWWvXaKvXargdeMMPyAozvADgiL8QFCEHwiK8ANBEX4gKMIPBEX4gaAIPxDU/wOD9TqwqkBrGQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "print(\"Actual class of test image:\", test_lbl[211])\n",
    "plt.imshow(test_img[211].reshape((28,28)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Indeed, the item was a trouser! The algorithm classified the item correctly."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  },
  "pycharm": {
   "stem_cell": {
    "cell_type": "raw",
    "source": [],
    "metadata": {
     "collapsed": false
    }
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}